A Review and Update of Analytical and Numerical Solutions of the Terzaghi One-Dimensional Consolidation Equation

Cheikhou Ndiaye¹, Meissa Fall¹, Mapathe Ndiaye¹, Daouda Sangare², Abib Tall¹

¹Laboratoire de Mécanique et Modélisation, UFR Sciences de l’Ingénieur, Université de Thiès, Thiès, Sénégal.
²Laboratoire d’Analyse Numérique et d’Informatique, UFR Sciences Appliquées et Technologie, Université Gaston Berger, Saint-Louis, Sénégal.

DOI: 10.4236/ojce.2014.43023                

Abstract

Practical resolution of consolidation problems that we often face requires an extensive and solid knowledge of the different parameters highlighted by the Terzaghi one-dimensional consolidation theory. This theory, with its assumptions, leads to a partial differential equation of second order in space and first order in time of pore water pressure. Analytical and numerical resolutions of this equation allow determining the water pressure variation before and after the application of a charge. Numerical modeling has enabled the simulation of the whole results obtained by the two methods of resolution (pressure, degree of consolidation, time factor, among others) to have a physical analysis and a lawful observation that lead to a suitable understanding of the phenomenon of Terzaghi one-dimensional consolidation.

Keywords

Pore Pressure, Numerical Solution, Analytical Solution, Modeling, Consolidation, Time Factor

Conflicts of Interest

The authors declare no conflicts of interest.

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